Normal form methods for symbolic creation of approximate solutions of nonlinear dynamical systems

DOI10.1016/S0378-4754(01)00343-3zbMath0986.65123MaRDI QIDQ5950182

Fouad Zinoun, Jilali Mikram

Publication date: 2001

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsHamiltonian systemsnormal formscomputer algebraHénon-Heiles systemnonlinear dynamical systemsgeneralized hypergeometric functionstruncated Fourier series

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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